Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-25T04:12:35.324Z Has data issue: false hasContentIssue false
  • English
  • Français

On injective profinite algebras

Published online by Cambridge University Press:  17 April 2009

B.J. Day
B.J. Day
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that if с is a finitely productive and hereditary class of uniformly pointed finite discrete universal algebras then any injective in с is an injective in Proс.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 3 , December 1978 , pp. 329 - 331
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Banaschewski, B., “On profinite universal algebras”, General topology and its relations to modern analysis and algebra III, 51–62 (Proc. 3rd Prague Topological Symposium, 1971. Academia Publishing House of the Czechoslovak Academy of Sciences, Prague; Academic Press, New York, London, 1972).Google Scholar
[2]Choe, Tae Ho, “Injective and projective zero-dimensional compact universal algebras”, Algebra Universalis 7 (1977), 137–142.CrossRefGoogle Scholar
[3]Day, B.J., “Duality in topological algebra”, Bull. Austral. Math. Soc. 18 (1978), 475–480.CrossRefGoogle Scholar
[4]Kaplan, Samuel, “Extensions of the Pontryagin duality II: direct and inverse sequences”, Duke Math. J. 17 (1950), 419–435.CrossRefGoogle Scholar
[5]Lane, Saunders Mac, Categories for the working mathematician (Graduate Texts in Mathematics, 5. Springer-Verlag, New York, Heidelberg, Berlin, 1971).CrossRefGoogle Scholar
[6]Schubert, Horst, Categories (translated by Gray, Eva. Springer-Verlag, Berlin, Heidelberg, New York, 1972).CrossRefGoogle Scholar